Average vehicle length: $20$ ft $.$

Average perception$-$reaction time: $1$ second

Average deceleration rate: $11\mathrm{.}2$ft$.//$s$2$

Average speed of pedestrians: $4$ft$.//$s

N$-$S approach grade: $1\mathrm{.}00\%$ uphill

N$-$S approach design speed: $45$ mph

Number of pedestrians per interval in the N$-$S direction: $30$

Effective crosswalk width for N$-$S approach: $8$ ft $.$

a$.(2$ points$)$ Calculate the total yellow and all$-$red interval for the N$-$S approach. Please

express your answer in seconds and round to two decimal places.

b$.(1$ point$)$ Calculate the minimum green time for pedestrians at the N$-$S approach. Again,

express your answer in seconds and round to two decimal places. $2.(6$ points total$)$ HCM Method for Basic Freeway Segments

An existing freeway segment on level terrain has four $\backslash (11-\backslash$mathrm$\{$ft$\}\backslash )$ wide lanes and a $\backslash (3-\backslash$mathrm$\{$ft$\}\backslash )$ right shoulder in the southbound direction. It is currently operating with a speed limit of $60$ mph $,$ a volume of $\backslash (3,200\backslash$mathrm$\{$veh$\}/\backslash$mathrm$\{$hr$\}\backslash ),$ has a PHF of $0\mathrm{.}85,$ and has $\backslash (15\backslash \%\backslash )$ heavy vehicles. The existing layout does not have any on$-$or$-$off ramps within a distance of three miles upstream or three miles downstream. There is a proposal to construct new interchanges that would result in $6$ on$-$and$-$off ramps within the distance of three miles upstream and downstream. After the construction, it is expected that the new ramps would double the traffic volume on the road and result in a PHF of $0\mathrm{.}95($with the same percent heavy vehicles$).$

a$.(3$ points total$)$ Use the HCM Method for Basic Freeway Segments to determine the LOS for the existing conditions $($e$.$g$.,\backslash (\backslash$mathrm$\{$TRD$\}=0,\backslash$mathrm$\{$~V$\}=3,200,\backslash$mathrm$\{$PHF$\}=0\mathrm{.}85\backslash )).$ Please support your answer by showing calculations for the following:

i$.(0\mathrm{.}5$ point$)$ Step $2$: Find the free flow speed $($FFS$)$

ii$.(0\mathrm{.}5$ point$)$ Step $3$ : Find the adjusted capacity $\backslash (\backslash$left$(\backslash$mathrm$\{$c$\}\_\{\backslash$mathrm$\{$adj$\}\}\backslash$right$)\backslash )$

iii. $(0\mathrm{.}5$ point$)$ Step $4$ : Find the adjusted demand volume $\backslash (\backslash$left$($v$\_\{$p$\}\backslash$right$)\backslash )$

iv$.(1\mathrm{.}0$ point$)$ Step $5$: Find the breakpoint $($BP$),$ speed $($S$)$ and density $($D$)$

v$.(0\mathrm{.}5$ point$)$ Step $6$: LOS letter $($A$-$F$)$

b$.(3$ points total$)$ If the $6$ new on$-$and$-$off ramps are built $(\backslash (\backslash$mathrm$\{$TRD$\}=1\backslash ),$ double $\backslash (\backslash$mathrm$\{$V$\},\backslash$mathrm$\{$PHF$\}=0\mathrm{.}95\backslash )),$ determine the new LOS. Again, support your answer by showing calculations for the following:

i$.(0\mathrm{.}5$ point$)$ Step $2$: Find the free flow speed $($FFS$)$

ii$.(0\mathrm{.}5$ point$)$ Step $3$ : Find the adjusted capacity $\backslash (\backslash$left$(\backslash$mathrm$\{$c$\}\_\{\backslash$text $\{$adj $\}\}\backslash$right$)\backslash )$

iii. $(0\mathrm{.}5$ point$)$ Step $4$ : Find the adjusted demand volume $\backslash (\backslash$left$($v$\_\{$p$\}\backslash$right$)\backslash )$

iv$.(1\mathrm{.}0$ point$)$ Step $5$: Find the breakpoint $($BP$),$ speed $($S$)$ and density $($D$)$

v$.(0\mathrm{.}5$ point$)$ Step $6$: LOS letter $($A$-$F$)$